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Finding the Fourth Proportional to 47,137.66, 65,049.80 and 25,916.86

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Solution

The fourth proportional to 47,137.66, 65,049.80 and 25,916.86 is: 35,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,137.66 : 65,049.80 = 25,916.86 : x
  2. Step 2: Convert to fraction form
    47,137.66/65,049.80 = 25,916.86/x
  3. Step 3: Cross multiply
    47,137.66x = 65,049.80 × 25,916.86
  4. Step 4: Simplify right side
    47,137.66x = 1,685,886,559.63
  5. Step 5: Solve for x
    x = 1,685,886,559.63/47,137.66
  6. Step 6: Final answer
    x = 35,765.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.